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Finding the Fourth Proportional to 2,204.12, 3,306.14 and 743.24

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Solution

The fourth proportional to 2,204.12, 3,306.14 and 743.24 is: 1,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.12 : 3,306.14 = 743.24 : x
  2. Step 2: Convert to fraction form
    2,204.12/3,306.14 = 743.24/x
  3. Step 3: Cross multiply
    2,204.12x = 3,306.14 × 743.24
  4. Step 4: Simplify right side
    2,204.12x = 2,457,255.49
  5. Step 5: Solve for x
    x = 2,457,255.49/2,204.12
  6. Step 6: Final answer
    x = 1,114.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.